Eur. Phys. J. Plus (2022) 137: 49
https://doi.org/10.1140/epjp/s13360-021-02253-7

Regular Article

Evolution of axially and reflection symmetric source in energy–momentum squared gravity

Department of Mathematics, University of the Punjab, Quaid-i-Azam Campus, 54590, Lahore, Pakistan

Received: 4 October 2021
Accepted: 2 December 2021
Published online: 21 December 2021

Abstract

This paper aims to investigate the effects of gravity on the dynamical evolution of axially and reflection symmetric anisotropic and dissipative fluid, where R is the scalar curvature and , with being the stress–energy tensor. With a systematic structure, we investigate modified gravitational field and dynamical equations. In addition, we use the heat transport equation to analyze the thermodynamics of our problem. The Weyl tensor is utilized to evaluate a generalized version of scalar variables from the Riemann tensor. We investigate the influence of corrections on the dynamics of the gravitating source. We conclude that modified scalar variables bearing the effects of electric and magnetic components of the Weyl tensor play a vital role in the evolution of compact objects. We analyze that in geodesic and vorticity-free evolution, , where . This reveals that the physics is the same but the couplings of both theories (GR and ) are different.